Robust fixed-time connectivity preserving consensus of nonlinear multi-agent systems with disturbance

This article studies the fixed-time tracking consensus of second-order nonlinear multi-agent systems with disturbance. To make the fixed-time tracking consensus, a consensus protocol based on the integral sliding mode surface is proposed, which can ensure the adjacent agents remain within a limited communication range in the communication process. By adopting Lyapunov stability theory and matrix theory, sufficient conditions for the fixed-time tracking consensus are given, and a bound of the settling time is obtained. Finally, a simulation example is presented to verify the potential correctness of the obtained results.

Automated summary

This article proposes a consensus protocol based on integral sliding mode surface to achieve fixed-time tracking consensus for second-order nonlinear multi-agent systems with disturbance. By utilizing Lyapunov stability theory and matrix theory, sufficient conditions for fixed-time tracking consensus are provided, along with an upper bound for the settling time. A simulation example is presented to demonstrate the potential correctness of the obtained results.